Revisit of correlation analysis between active galactic nuclei and ultra-high energy cosmic rays

摘要

We update the previous analysis of correlation between ultra-high energy cosmic rays (UHECR) and active galactic nuclei (AGN), using 69 UHECR events with energy E ≥ 55 EeV released in 2010 by Pierre Auger observatory and 862 AGN within the distance d ≤ 100 Mpc listed in the 13th edition of Véron-Cetty and Véron AGN catalog. To make the test hypothesis definite, we use the simple AGN source model in which UHECR are originated both from AGN, with the fraction fA, and from the isotropic background. We treat all AGN as equal sources of UHECR, and introduce the smearing angle θ_s to incorporate the effects of intervening magnetic fields. We compare the arrival direction distributions observed by Pierre Auger Observatory (PAO) and expected from the model by the correlational angular distance distribution (CADD) method. CADD method rules out the AGN dominance model with a small smearing angle (f_A ? 0.7 and θ_s ? 6°). Concerning the isotropy, CADD shows that the distribution of PAO data is marginally consistent with isotropy. The best fit model lies around the AGN fraction f_A = 0.4 and the moderate smearing angle θ_s = 10°. For the fiducial value f_A = 0.7, the best probability of CADD was obtained at a rather large smearing angle θs = 46°. Our results imply that for the whole AGN to be viable sources of UHECR, either an appreciable amount of additional isotropic background or the large smearing effect is required. Thus, we try to bin the distance range of AGN to narrow down the UHECR sources and found that the AGN residing in the distance range 60-80 Mpc have good correlation with the updated PAO data. It is an indication that further study on the subclass of AGN as the UHECR source may be quite interesting.